A variable of a population has a mean ofμ = 300 and a standard deviation of o = 35.a. The sampling distribution of the sample mean forsamples of size 49 is approximately normally distributedand standard deviationwith meanb. For part (a) to be true, what assumption did you makeabout the distribution of the variable underconsideration?A. Normal distribution.B. No assumption was made.C. Uniform distribution.c. Is the statement in part (a) still true if the sample size is16 instead of 49? Why or why not?A. Yes, the sampling distribution of the sample meanis always normal.B. No. Because the distribution of the variable underconsideration is not specified, a sample size of atleast 30 is needed for part (a) to be true.C. No, the sampling distribution of the sample meanis never normal for sample size less than 30.

Population mean =300 Standard deviation =35 We have to find a...mean and standard deviation of…

Answered: A variable of a population has a mean…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Which of the following is NOT a requirement of testing a claim about the mean of the differences from dependent samples? Choose the correct answer below. O A. The degrees of freedom aren- 2. O B. The samples are simple random samples. O C. The sample data are dependent. O D. Either the number of pairs of sample data is larger than 30 or the pairs have differences that are from a population having a distribution that is approximately normal, or both.
A variable of a population has a mean of μ = 250 and a standard deviation of σ = 35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? O A. Normal distribution. O B. Uniform distribution. O C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? O A. Yes, the sampling distribution of the sample mean is always normal. O B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation O C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
A variable of a population has a mean of μ=100 and a standard deviation of σ=35 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation . b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. No assumption was made.B. Normal distribution.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. Yes, the sampling distribution of the sample mean is always normal.B. No, the sampling distribution of the sample mean is never normal for sample size less than 30.C. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.
A variable of a population has a mean of u 200 and a standard deviation of o = 42. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. No assumption was made. B. Normal distribution. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. O B. Yes, the sampling distribution of the sample mean is always normal. and standard deviation C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
Suppose it is known that the mean and standard deviation of the scores on a statistics final are 71.36 and 8.57, respectively. Calculate an interval that is symmetric around the mean such that it contains approximately 95% of scores. Assume that the scores have a normal distribution. Question 4 options: 1) (71.36, 8.57) 2) (54.22, 88.5) 3) (88.5, 54.22) 4) (62.79, 79.93) 5) (79.93, 62.79)
A variable of a population has a mean of μ=100 and a standard deviation of σ=42 a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean ____ and standard deviation ____ b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration?A. Normal distribution.B. No assumption was made.C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not?A. No, the sampling distribution of the sample mean is never normal for sample size less than 30.B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.C. Yes, the sampling distribution of the sample mean is always normal.
A variable of a population has a mean of μ = 200 and a standard deviation of o = 28. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Uniform distribution. B. No assumption was made. C. Normal distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. B. No, the sampling distribution of the sample mean is never normal for sample size less than 30. and standard deviation C. Yes, the sampling distribution of the sample mean is always normal.
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.
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Steve's average golf score at his local course is 92.9 from a random sample of 60 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The standard error of the mean for this sample is ________. A) 0.54 B) 1.17 C) 1.56 D) 2.30
A variable of a population has a mean of μ = 100 and a standard deviation of σ = 28. a. Identify the sampling distribution of the sample mean for samples of size 49. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not?

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